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Finding the Fourth Proportional to 686.60, 1,029.80 and 199.52

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Solution

The fourth proportional to 686.60, 1,029.80 and 199.52 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.60 : 1,029.80 = 199.52 : x
  2. Step 2: Convert to fraction form
    686.60/1,029.80 = 199.52/x
  3. Step 3: Cross multiply
    686.60x = 1,029.80 × 199.52
  4. Step 4: Simplify right side
    686.60x = 205,465.70
  5. Step 5: Solve for x
    x = 205,465.70/686.60
  6. Step 6: Final answer
    x = 299.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.